Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (24.2-x)/x*100% = 1.7% .
    Question type: Equation
    Solution:Original question:
     (
121
5
x ) ÷ x ×
100
100
=
17
1000
     Multiply both sides of the equation by: x
     (
121
5
x ) ×
100
100
=
17
1000
x
    Remove a bracket on the left of the equation::
     
121
5
×
100
100
x ×
100
100
=
17
1000
x
    The equation is reduced to :
     
121
5
x ×
100
100
=
17
1000
x

    Transposition :
      -
100
100
x
17
1000
x = -
121
5

    Combine the items on the left of the equation:
      -
1017
1000
x = -
121
5

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
121
5
=
1017
1000
x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
1017
1000
x =
121
5

    The coefficient of the unknown number is reduced to 1 :
      x =
121
5
÷
1017
1000
        =
121
5
×
1000
1017
        = 121 ×
200
1017

    We obtained :
      x =
24200
1017
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 23.795477




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